Spiegelgasse 5, Seminarraum 05.002
Seminar Analysis and Mathematical Physics: Klaus Widmayer (Universität Zürich)
While "Landau damping" is regarded as an important effect in the dynamics of hot, collisionless plasmas, its mathematical understanding is still in its infancy. This talk presents a recent nonlinear stability result in this context. Starting with a discussion of stabilizing mechanisms in the linearized Vlasov-Poisson equations near a class of homogeneous equilibria on R^3, we will see how both oscillatory and damping effects arise, and sketch how these mechanisms imply a nonlinear stability result in the specific setting of the Poisson equilibrium. This is based on joint work with A. Ionescu, B. Pausader and X. Wang.
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